Results 71 to 80 of about 1,274,911 (326)
Monotonicity and inequalities for the gamma function
Journal of Inequalities and Applications, 2017 In this paper, by using the monotonicity rule for the ratio of two Laplace transforms, we prove that the function x ↦ 1 24 x ( ln Γ ( x + 1 / 2 ) − x ln x + x − ln 2 π ) + 1 − 120 7 x 2 $$ x\mapsto \frac{1}{24x ( \ln \Gamma ( x+1/2 ) -x\ln x+x- \ln \sqrt{
Zhen-Hang Yang, Jing-Feng Tian
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Double series expansions for π
AIMS Mathematics, 2021 We use some properties of gamma functions and a summation formula for Kamp\'e de F\'eriet function $F_{1:1;1}^{0:3;3}$ to give many double series expansions for $1/\pi$ and $\pi$.
Long Li
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Thermal and electromagnetic properties of 166-Er and 167-Er
, 2000 The primary gamma-ray spectra of 166-Er and 167-Er are deduced from the (3-He,alpha gamma) and (3-He,3-He' gamma) reaction, respectively, enabling a simultaneous extraction of the level density and the gamma-ray strength function.
A. Bohr +34 more
core +1 more source
The multiple gamma functions and the multiple q-gamma functions
, 1996 We give an asymptotic expansion (the higher Stirling formula) and an infinite product representation (the Weierstrass product representation) of the Vign ras multiple gamma functions by considering the classical limit of the multiple q-gamma functions.
Ueno, Kimio, Nishizawa, Michitomo
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Single‐cell insights into the role of T cells in B‐cell malignancies
FEBS Letters, EarlyView.Single‐cell technologies have transformed our understanding of T cell–tumor cell interactions in B‐cell malignancies, revealing new T‐cell subsets, functional states, and immune evasion mechanisms. This Review synthesizes these findings, highlighting the roles of T cells in pathogenesis, progression, and therapy response, and underscoring their ...
Laura Llaó‐Cid
wiley +1 more source
Mathematical Sciences and Applications E-Notes, 2017 In this paper, we introduce a new generalization for the gamma function as hyper-gamma function. Some identities and integral representation are obtained for the this new generalization.
BAHŞİ, Mustafa, SOLAK, Süleyman
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Rewriting the dendritic cell code in cancer—from subset identity to immunotherapeutic design
FEBS Letters, EarlyView.Dendritic cells (DCs) play central roles in cancer immunity but are often subverted by the tumor microenvironment. This review explores the diversity of DC subsets, their functional plasticity, and emerging therapeutic strategies to reprogram DCs for enhanced antitumor responses, including vaccines, in vivo targeting, and DC‐based immunotherapies ...
Estevão Carlos Silva Barcelos +3 more
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REMARKS ON COMPLETE MONOTONICITY OF A FUNCTION INVOLVING THE GAMMA FUNCTION
Проблемы анализа, 2015 In the note, the authors give several remarks on the paper in "Chen and Haigang Zhou On completely monotone of an arbitrary real parameter function involving the gamma function. Applied Mathematics and Compulation, 2014, vol. 242, pp.
F. Qi, B. N. Guo
doaj
FEBS Letters, EarlyView.Exposure to common noxious agents (1), including allergens, pollutants, and micro‐nanoplastics, can cause epithelial barrier damage (2) in our body's protective linings. This may trigger an immune response to our microbiome (3). The epithelial barrier theory explains how this process can lead to chronic noncommunicable diseases (4) affecting organs ...
Can Zeyneloglu +17 more
wiley +1 more source
From omics to AI—mapping the pathogenic pathways in type 2 diabetes
FEBS Letters, EarlyView.Integrating multi‐omics data with AI‐based modelling (unsupervised and supervised machine learning) identify optimal patient clusters, informing AI‐driven accurate risk stratification. Digital twins simulate individual trajectories in real time, guiding precision medicine by matching patients to targeted therapies.
Siobhán O'Sullivan +2 more
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